<h2>Problem 56</h2>
<div style="color:#666;font-size:80%;">07 November 2003</div><br />
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<p>A googol (10<img src="" style="display:none;" alt="^(" /><sup>100</sup><img src="" style="display:none;" alt=")" />) is a massive number: one followed by one-hundred zeros; 100<img src="" style="display:none;" alt="^(" /><sup>100</sup><img src="" style="display:none;" alt=")" /> is almost unimaginably large: one followed by two-hundred zeros. Despite their size, the sum of the digits in each number is only 1.</p>
<p>Considering natural numbers of the form, <i>a<img src="" style="display:none;" alt="^(" /><sup>b</sup><img src="" style="display:none;" alt=")" /></i>, where <i>a, b</i> <img src='images/symbol_lt.gif' width='10' height='10' alt='&lt;' border='0' style='vertical-align:middle;' /> 100, what is the maximum digital sum?</p>

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